Fill in the blanks in the following proof of theorem 2.1.13(a).
THEOREM: Let A be a subset of U. Then A ∪ (U\A) = U.
Proof: If x ∈ A ∪(U\A), then x ∈ _____________________ Or x ∈_____________________ .
Since both A and U\A are subsets of U, in either case we have _____________________ . Thus _____________________ ⊆ _____________________ .
On the other hand, suppose that x ∈ _____________________ .Now either x ∈ A, then x∈ _____________________ . In either case x∈_____________________ ⊆_____________________ .
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